A) The kinetic energy of an object is given by:
where m is the mass of the object, and v its speed. For the lion in our problem, m=45 kg and v=14.2 m/s, so its kinetic energy is
b) the increase in gravitational potential energy of the lion is given by:
where g is the gravitational acceleration, and
is the increase in altitude of the lion. In this problem,
, so the increase in gravitational potential energy is
c) When the fox reaches the top of the tree, its gravitational potential energy is
As it jumps, its kinetic energy is
So the total mechanical energy of the fox as it jumps is
Where’s the picture of the problem
Ac voltmeters and ammeters usually give rms readings.
Answer:
The angular acceleration of the blades is .
Explanation:
Given that,
Initial angular velocity of the blade of fan,
Final angular velocity of the blade of a fan,
Time, t = 5.95 s
The angular acceleration of the blades is equal to the rate of change of its angular velocity. It is given by :
So, the magnitude of the angular acceleration of the blades is .
<span>We can find the period P of one cycle, and then we can use the period to find the gravitational acceleration g on this planet.
P = (132 s) / (107 cycles) = 1.2336 s/cycle
The period P is 1.2336 seconds. This means that it takes 1.2336 seconds for the pendulum to swing back and forth one.
Now we can use the period P to find the gravitational acceleration g.
The equation for the period of a pendulum is as follows:
P = 2 pi \sqrt{L/g}
P^2 = (4 pi^2) L / g
g = (4 pi^2) L / P^2
g = (4)(pi^2)(0.540 m) / (1.2336 s)^2
g = 14.0 m/s^2
The acceleration of gravity on the planet is 14.0 m/s^2.</span>